Young Group theorists workshop: exploring new connections

This is a five day workshop with the uniting theme “Groups and group actions”. Each day focuses on a specific topic and will be planned by an experienced colleague together with early stage researchers.

The topics are:

• Permutation groups
• Linear groups and maximal subgroups
• Computational methods in group theory
• The Classification of the Finite Simple Groups and some applications
• Generation in finite and profinite groups and probabilistic methods in group theory

Our motivation for these topics stems from recent applications of group actions to various questions in algebra, geometry, number theory and computer science. The topics are approachable for young researchers via the theory of permutation groups and matrix groups, and there is the possibility to get involved in ongoing projects as well as exploring genuinely new open questions. We cover the theoretical and the applied side and  also include computational methods because this area has seen some impressive progress on hard problems recently.

A typical theme day will start with a long introductory lecture in the morning, with much room for discussion and questions, and then in the afternoon we will go deeper into the topic, for example with shorter, more specialised talks by early or mid stage researchers, with a poster session or open discussion groups where potential projects and work in progress are shared. Moreover, we plan to have a majority of female speakers and an overall diverse and well-balanced group of participants, with many opportunities for exchanging experiences and informal coaching.